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The world-volume action of the M2 brane and the M5-brane in an adS_4 x S^7and a adS_7 x S^4 background is derived to all orders in anticommutingsuperspace coordinates. Contrary to recent constructions of super p-braneactions relying on supercoset methods, we only use 11 dimensional supergravitytorsion and curvature constraints. Complete agreement between the two methodsis found. The simplification of the actions by choosing a suitable kappa-gaugeis discussed.Comment: 14 pages, LaTeX, discussion of simplification by kappa-gauge  corrected, reference adde

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Super M-brane actions in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>×</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">S</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><…

Super M-brane actions inAdS4×S7and<…